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Unformatted text preview: Aerospace Engineering 311 Exam I 9/25/08 Problem 1 — Multiple Choicegst (5 Points) Select the most accurate ending(s). The intermolecular force that allows spiders to walk on water, a steel
needle to float when placed gently in a pan of water and water “heads”
on your freshly waxed car is known as b) Newtonian
c) vorticity
d) viscosity
e) density 0 Brungart Problem 2 - Short Answer (10 Points) Explain the basic difierences between the Eulerian and Lagrangian
description of fluid flow. BAUER. 366W3P‘L‘lom— Ob6¢W65 Hue. Mo'LlaDI‘b 3+0 DEE¢L£JPaPéILI¢5
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Lagranalari. clasu‘tp‘lzlom .flngws iron»; cilia: abilwegand chasm becl ab 14: Moves
gpaca- (5 Petra?) Problem 3 [11 Points) An aircraft flies at a velocity of 67 m/s where the temperature is 15.6“C
and the pressure is 1 atm. (a) What is the Mach number of the flow? (5 Points) M = 3% <3 Pom) Davin. c.10- mam. _. VIM/5 /
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germ/5 “ o (b) Assuming that the Mach number is 0.56, is the flow about the
aircraft considered to be compressible or incompressible?
Why? (6 Points) Emgmz-c. M 5:03 - InCDMPFBGSIIDIE- (4 pomfi)
M >05 - wnpresslbie. (H: 0-56) 7 0-3 s" COHPmsibiL (2 Ronnie») Problem 4 (9 Points) A barrel 1 m in diameter and containing an unknown liquid 2.0 m deep
is exposed to that atmosphere at sea level. The pressure at the bottom of
the barrel is 125,721 Pa. Determine the density of the unknown liquid. Hgérob-iza-L'Ic. rials-1:101. p= Pa - 63 E ('5 Fin-Lian) - o=-€31
%=I0li¢P& P P P F
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9 (9.6062) ‘3 ‘3' i =12572IP2. a= 1.2m lash-t3 (:Po.q4:\ Problem 5 [40 Points Total} A layer of water flows down an. inclined fixed surface with the velocity
profile shown below. (a) Determine the magnitude and direction of the shearing stress that
the water exerts on the fixed Surface for U = 3 mis and h = 0.1 m. (10 Points) 7;: (2 Ennis) /Z:N__: floured. 7:0 5 IN: ace “m (I at.)
In cin: o-izflow (I Pt.) (b) Determine the mass flux through a plane normal to the fixed
surface for U = 3 mls and h = 0.1 m. Assume that the flow extends
a distance of l to into the page (i.e., z-dir.). (15 Points) 9-,: Jam- U%)A% (333.4145)
Ewe—WI; f1: l‘i‘tbksla (l fining Problem 5 Continued (40 Point‘s Total! (c) Determine the momentum flux through a plane normal to the fixed
surface for U = 3 nuts and h = 0.1 m. Assume that the flow extends
a distance of 1 m into the page (i.e., z-dir.). (15 Points) ‘15:: {Lam-mas (1 mt) h
i z z 4 a. ‘6
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Z : 0.533631% §$K5M4f<Q1MX|Q l; “1: km N: Lam
= 478.719 (1 Bauer) § 5 52 25 Problem 5( Points Total! Expand g:- into the x, y and z coordinate directions for a general velocity field. In other words, determine the
acceleration vector for the general velocity field given below. ii = 110:, y, z, 01' + v(x. y, z, 0}" + w(x, y, z, 075 D; _ “ a —- -=~ Bil-— fin (u-vw (lRmn-E) 6 =A§+fi+k§z (1'6: (Lu-L‘fl‘r W12.) (£3? “51% + DIE cm * _....
T=E£+CU°§7W
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